Automated Symbolic and Numerical Testing of DLMF Formulae using Computer Algebra Systems

Published

July 18, 2018

Author(s)

Howard S. Cohl, Moritz Schubotz, Andre Greiner Petter

Abstract

We have developed an automated procedure for symbolic and numerical testing of formu- lae extracted from the NIST Digital Library of Mathematical Functions (DLMF). For the NIST Digital Repository of Mathematical Formulae, we have developed conversion tools from semantic L A TEX to the Computer Algebra System (CAS) MAPLE which relies on Youssef’s part-of-math tagger. We convert a test data subset of 4,078 semantic L A TEX DLMF formulae extracted from the DLMF to the native CAS representation and then apply an automated scheme for symbolic and numerical testing and verification. Our framework is implemented using Java and MAPLE. We describe in detail the conversion process which is required so that the CAS is able to correctly interpret the mathematical representation of the formulae. We describe the improvement of the effectiveness of our automated scheme through incremental enhancement (making more precise) of the mathematical semantic markup for the formulae.

Proceedings Title

Lecture Notes in Computer Science; Intelligent Computer Mathematics

Volume

11006

Conference Dates

August 13-17, 2018

Conference Location

Hagenberg

Conference Title

11th Conference on Intelligent Computer Mathematics

Pub Type

Conferences

Download Paper

https://doi.org/10.1007/978-3-319-96812-4_4

Local Download

Keywords

Computer Algebra Systems, Mathematical Knowledge Management

Citation

Cohl, H. , Schubotz, M. and Greiner, A. (2018), Automated Symbolic and Numerical Testing of DLMF Formulae using Computer Algebra Systems, Lecture Notes in Computer Science; Intelligent Computer Mathematics, Hagenberg, -1, [online], https://doi.org/10.1007/978-3-319-96812-4_4 (Accessed December 14, 2024)